The long-run Phillips curve and non-stationary inflation

Modern theories of inflation incorporate a vertical long-run Phillips curve and are usually estimated using techniques that ignore the non-stationary behaviour of inflation. Consequently, the estimates obtained are imprecise and unable to test the veracity of a vertical long-run Phillips curve. We estimate a Phillips curve model taking into account the non-stationary properties in inflation and identify a small but significant positive relationship between inflation and unemployment. The results also provide some evidence that the trade-off between inflation and the rate of unemployment in the short-run worsens as the mean rate of inflation increases.     

The stability of the Turkish Phillips curve and alternative regime shifting models

This article, presents empirical evidence supporting instability of the Phillips curve in Turkey. We employ the multiple structural break models and the Markov-switching models and then evaluate the performance of the two models. The data pertain to the monthly inflation rate in Turkey for the period of 1987 to 2004. The results show that the Turkish Phillips curve is not linear. There exists no evidence on the asymmetry in the inflation response to output gap. The persistence of inflation is found to be much lower than in linear models. After 2001, slight decline in persistence of inflation is observed. There exits weaker support for the Phillips curve for the periods where the policymakers attempt to take the advantage of the tradeoff between output and inflation relationship.     

Money illusion and coordination failure

Economists long considered money illusion to be largely irrelevant. Here we show, however, that money illusion has powerful effects on equilibrium selection. If we represent payoffs in nominal terms, choices converge to the Pareto inferior equilibrium; however, if we lift the veil of money by representing payoffs in real terms, the Pareto efficient equilibrium is selected. We also show that strategic uncertainty about the other players' behavior is key for the equilibrium selection effects of money illusion: even though money illusion vanishes over time if subjects are given learning opportunities in the context of an individual optimization problem, powerful and persistent effects of money illusion are found when strategic uncertainty prevails.     

Thought experimentation and the Phillips curve

This paper offers the rationale for presenting a particular type of Phillips curve and develops the dynamic behavior of an economy where such a Phillips curve relation is observed. The specific kind of relation that is explored has similarities with the sticky-information Phillips curve of the Mankiw-Reis framework. Nevertheless, it adds an important dimension: firms need to form expectations about current events on past time periods not because of infrequent optimal updating of information but because producers want to evaluate the possibility of taking advantage of information deficiencies on the consumers’ side. A positive probability of ‘fooling’ consumers with a price above the one imposed by market conditions re-shapes the dynamic relation between the inflation rate and the output gap.     

A Phillips curve interpretation of error-correction models of the wage and price dynamics

This paper presents a model of employment, distribution andinflation in which a modern error correction specification ofthe nominal wage and price dynamics (referring to claims onincome by workers and firms) occupies a prominent role. It isbrought out, explicitly, how this rather typical error-correctionsetting, which actually seems to capture the wage and pricedynamics of many large-scale econometric models quite well,is fully compatible with the notion of an old-fashioned Phillipscurve with finite slope. It is shown how the steady-state impactof various shocks to the model can be profitably conceived ofand interpreted in terms of (and to some extent even calculatedby means of) this long-run Phillips curve.     

Is the slope of the Phillips curve time-varying? Evidence from unobserved components models

This paper formally tests for time variation in the slope of the Phillips curve using a variety of measures of inflation expectations and real economic slack. We find that time variation in the slope of the Phillips curve depends on the measure of inflation expectations rather than the measure of real economic slack. We find strong evidence in support of the time-varying slopes of the Phillips curve with different measures of inflation expectations. Thus, we conclude that the slope of the Phillips curve is time-varying.     

Vacancies, unemployment, and the Phillips curve

The canonical new Keynesian Phillips curve has become a standard component of models designed for monetary policy analysis. However, in the basic new Keynesian model, there is no unemployment, all variation in labor input occurs along the intensive hours margin, and the driving variable for inflation depends on workers’ marginal rates of substitution between leisure and consumption. In this paper, we incorporate a theory of unemployment into the new Keynesian theory of inflation and empirically test its implications for inflation dynamics. We show how a traditional Phillips curve linking inflation and unemployment can be derived and how the elasticity of inflation with respect to unemployment depends on structural characteristics of the labor market such as the matching technology that pairs vacancies with unemployed workers. We estimate on US data the Phillips curve generated by the model. While we can reject the baseline new Keynesian Phillips curve in favor of the search-frictions specification, we show it is still too stylized to fully describe the dynamics of firms’ marginal costs.     

Non-stationary inflation and panel estimates of United States short and long-run Phillips curves

This paper argues that because United States inflation has been non-stationary over the past five decades the vast body of empirical research that proceeds without adequately accounting for the non-stationarity in the data is invalid. Using 50 years of United States inflation data the standard results in the Phillips curve literature are shown to be due to unaccounted shifts in the mean rates of inflation over the period. Short and long-run Phillips curves for the United States are then estimated using time series panel data techniques that account for these shifts in mean.     

Technology-driven forecasts, the Phillips curve, and monetary policy-making

The relationship between unemployment and the inflation rate is nonlinear and negative within the shorter-run timespan of business cycles, but positive in the longer run, the two-generation period in which techno-economic systems advance from innovation to market saturation. Monetary policymaking in the United States utilizes forecasts based upon the shorter term relationship, but these forecasts may be confounded by the countervailing long-wave relationship. This study presents a model that includes both the short- and long-term relationships and shows how inclusion of long-wave considerations changes preferred policy choices.     

Inventories,inflation dynamics and the New Keynesian Phillips curve

We introduce inventories into an otherwise standard New Keynesian model and study the implications for inflation dynamics. Inventory holdings are motivated as a means to generate sales for demand-constrained firms. We derive various representations of the New Keynesian Phillips curve with inventories and show that one of these specifications is observationally equivalent to the standard model with respect to the behavior of inflation when the model's cross-equation restrictions are imposed. However, the driving variable in the New Keynesian Phillips curve – real marginal cost – is unobservable and has to be proxied by, for instance, real unit labor cost. An alternative approach is to impute marginal cost by using the model's optimality conditions. We show that the stock–sales ratio is linked to marginal cost. We also estimate these various specifications of the New Keynesian Phillips curve using GMM. We find that the predictive power of the inventory-specification at best approaches that of the standard model, but does not improve upon it.     

The Phillips curve,parameter instability and the Lucas critique

Empirical estimation of Phillips curve relationships typically indicates the presence of parameter instability. This is argued to be due to the fact that the parameters of these equations are reduced form rather than structural parameters. Estimation of a Phillips curve model by methods which allow for time-varying parameters permits investigation of the nature and timing of the structural breaks which generate instability. This paper estimates such a model by the Kalman filter using quarterly data over the period 1972.4 to 1993.3. We find evidence of a gradual decline in the private sector's assessment of the steady-state inflation rate during the 1980s, but little evidence of the sort of dramatic regime shift predicted by some of the more extreme rational expectations models.     

Nonlinearities in the U.S. wage Phillips curve

We examine the relationship between wage inflation and the unemployment rate in the U.S. economy for the 1964–2014 period by means of a three-regime threshold regression model. The estimated threshold parameters suggest that this relationship changes when the unemployment rate transitions between regimes defined by 5.61% and 7.63%. During mild recessions and their subsequent recoveries, the time-varying estimates of the model indicate a negative relationship between both variables, consistent with the implications of a wage Phillips curve (WPC) derived from the standard New Keynesian model with staggered wage setting in Galí (2011). However, we find that this relationship breaks down during deep recessions and their recovery periods, which explains the difference between wage inflation predicted by standard New Keynesian models and the observed low wage growth in the aftermath of the ‘Great Recession’. This finding and the fact that statistical tests strongly favor our three-regime model suggest that linear and two-regime models are insufficient to account for all the variability in the relationship between wage inflation and unemployment.     

Equilibrium unemployment: Theory and measurement in Australia using the Phillips curve

This paper reviews the measurement of equilibrium unemployment in Australia using the Phillips curve. To provide a theoretical framework through which these measurement exercises can be understood, the theory of equilibrium unemployment based on wage bargaining is also described and reviewed. The paper shows how studies have moved from specifying a unique and constant equilibrium rate of unemployment to specifications which emphasise the influence of unemployment benefits, hysteresis and a range of equilibrium rates of unemployment.     

Nonlinearity and structural stability in the Phillips curve: Evidence from Turkey

In this paper, we investigate possible nonlinearities in the inflation–output relationship in Turkey for the 1980–2008 period. We first estimate a linear bivariate model for the inflation rate and output gap, and test for linearity of the estimated model against nonlinear alternatives. Linearity test results suggest that the relationship between the inflation rate and output gap is highly nonlinear. We estimate a bivariate time-varying smooth transition regression model, and compute dynamic effects of one variable on the other by generalized impulse response functions. Computed impulse response functions indicate that inflation–output relationship in Turkey during the analyzed period was regime dependent and varied considerably across time.     

Phillips curve in US: New insights in time and frequency

The paper explores the co-movement between unemployment and inflation rates in US by using a battery of wavelet tools. The dataset covers the period 1945Q1–2017Q4, having quarterly frequency.The main findings reveal a not stable Phillips curve in US, depending on economic context, seasonality and time-persistence. The Phillips curve is not validated during economic turbulences, while it works over expansion economic periods. Even so, the trade-off between unemployment and inflation is unstable under seasonal growth components and time-persistence, running from short- to medium-term. No link between unemployment and inflation is found in the long-term.     

Macro frictions and theoretical identification of the New Keynesian Phillips curve

I discuss theoretical identification of the New Keynesian Phillips curve, and show that it can be identified with limited information techniques when the data generating process is a New Keynesian model with enough macro frictions or persistent shocks. Monte Carlo experiments illustrate the quantitative relevance of the results.     

Output gap measurement and the New Keynesian Phillips curve for China

The New Keynesian Phillips curve implies that the output gap, the deviation of the actual output from its natural level due to nominal rigidities, drives the dynamics of inflation relative to expected inflation and lagged inflation. This paper exploits the empirical success of the New Keynesian Phillips curve in explaining China's inflation dynamics with a new measure of the output gap. We estimate the output gap using the Bayesian multivariate Beveridge–Nelson decomposition method, based on a multivariate dynamic model featuring distinct interactions among inflation, money, and real output in China. The empirical results using quarterly data spanning 1979–2010 show that the new measure of the output gap outperforms the traditional measures in fitting the New Keynesian Phillips curve. This result provides useful insights for inflation dynamics and monetary policy analysis in China.     

Nonlinear Phillips curve,NAIRU and monetary policy rules

The US Phillips curve is modeled with a logistic smooth transition autoregression specification that allows various nonlinear shapes. Using this, the paper derives model-consistent estimates of the NAIRU. The NAIRU is defined as the level of unemployment rate that would correspond to a forecast of no inflation changes over the policy horizon. This paper also investigates the implications of nonlinearities in the Phillips curve for deriving optimal monetary policy rules. The optimal policy rule for interest rates and implied sacrifice ratios are found to be nonlinear as well.